List of B-heptomino/heptaplet offsets in INT rules

For discussion of other cellular automata.
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GUYTU6J
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List of B-heptomino/heptaplet offsets in INT rules

Post by GUYTU6J » January 1st, 2020, 5:06 am

Last year (month, actually) I made this proposal in the basic questions thread:
GUYTU6J wrote:
December 11th, 2019, 3:34 am
How about a new database that storages the way B-heptomino displace in some Life-like isotropic non-totalistic cellular automata? This can provide insights into the behaviours of INT rules.
In my imagination the information is stored in this format:

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gen,dx,dy,orient,isorulemin,isorulemax
where gen=generations for B to reappear, dx and dy=offsets in two directions, orient=new orientation of B, isorulemin and isorulemax=range of rules for the sequence. Orientations follow the conventions for Herschel conduits:

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x = 73, y = 37, rule = LifeHistory
4D36.3D$D24.D14.D2.D21.D$D14.2A9.D2.2A9.D2.D11.2A9.D2.2A.A$4D12.CA.7D
.D2.CA8.3D13.CA.7D.D2.ACA$D14.2A9.D2.2A9.2D13.2A9.D4.A$D14.A9.D3.A10.
D.D12.A9.D$D39.D2.D4$4D36.3D$D24.D14.D2.D21.D$D4.D3.D5.2A9.D2.A10.D2.
D.D3.D5.2A9.D2.A.2A$4D2.D.D7.CA.7D.D.2A9.3D3.D.D7.CA.7D.D.ACA$D6.D7.
2A9.D3.CA8.2D5.D7.2A9.D3.A$D5.D.D6.A9.D3.2A9.D.D3.D.D6.A9.D$D4.D3.D
30.D2.D.D3.D4$3D37.D$D2.D21.D14.D24.D$D2.D11.2A9.D4.A8.D14.2A9.D3.A$
3D13.CA.7D.D2.2A8.D15.CA.7D.D.ACA$D2.D11.2A9.D2.AC9.D14.2A9.D2.A.2A$D
2.D11.A9.D4.2A8.D14.A9.D$3D37.4D4$3D37.D$D2.D21.D14.D24.D$D2.D.D3.D5.
2A9.D3.2A8.D4.D3.D5.2A9.D4.A$3D3.D.D7.CA.7D.D.AC9.D5.D.D7.CA.7D.D2.AC
A$D2.D3.D7.2A9.D3.2A8.D6.D7.2A9.D2.2A.A$D2.D2.D.D6.A9.D5.A8.D5.D.D6.A
9.D$3D2.D3.D30.4D.D3.D!
#C [[ THUMBNAIL THUMBSIZE 3 ]]
For example, B in Conway's Life evolves into some junk and a new B at gen=64:

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x = 28, y = 15, rule = LifeHistory
14.4B$13.2A5B3.3A$13.2A3BA3B.A2BA$14.3BABA3BA3BA$13.4BABA7BA$11.13BA
3B$4.2B2.16BAB2A$3.24B$.2B2D13B.7B$2A2B2D12B2.B2ABAB$2AB2D13B4.3A$.2B
D13B6.A$2.3B.BA2B$5.2A2B$6.2A!
Then it is encoded as

Code: Select all

64,19,1,R,B3/S23-c,B34ce8/S234c5e8
Some issues I think of:
  • The database includes no information about what actually the B is. Whether B is a oscillator, a spaceship, a replicator or merely a methuselah is not relevant to the offset. (But the new orientation does suggest behaviours.)
  • Why B-heptominos? For me, it seems more likely to be observed in soups for INT rules than R-pentominos, Herschels, buns or block&gliders. But this statement may be biased and I can't decide on other small methuselahs like bookends, pre-loaves and Pi's. There's even the isomeric B-heptaplet. Moreover, unnamed methuselahs in other rules exist. (A survey on the most common small methuselah across INT rules?)
  • The junks around the new B may interact with B so quickly that the characteristics of B is interrupted.
  • Multiple B's can occur simultaneously.
  • The B-heptomino may never appear again in the evolutionary sequence, but one of its descendants reappears and shows its features.
  • The database can be exhaustive, but it may turn out to be randomly collecting stuffs like the 5S database.
I admit that I haven't gone through the general considerations, but the crude idea is potentially powerful.
Do you have any suggestions for the project? In particular I wonder if this problematic example should be stored and if yes, how.

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x = 3, y = 4, rule = B34-a5ae/S23
2o$b2o$2o$o!
#C [[ STOP 62 ]]
Lifequote:
In the drama The Peony Pavilion, Tang Xianzu wrote: 原来姹紫嫣红开遍,似这般都付与断井颓垣。
(Here multiflorate splendour blooms forlorn
Midst broken fountains, mouldering walls.)
I'm afraid there's arrival but no departure.

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Re: List of B-heptomino/heptaplet offsets in INT rules

Post by Entity Valkyrie 2 » January 9th, 2020, 6:57 am

Bx222 IS MY WORST ENEMY.

Please click here for my own pages.

My recent rules:
B3-kq4ej5i6ckn7e/S2-i34q6a7
B3-kq4ej5y6c/S2-i34q5e
Move the Box

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Re: List of B-heptomino/heptaplet offsets in INT rules

Post by Naszvadi » January 11th, 2020, 6:01 pm

Probing some right-angle B*-collisions: from left-to-right: 2B-4G, 2B0, 2B0, 2B->1B Heisenburp

Code: Select all

x = 157, y = 24, rule = B34t5y7/S23
2bo39b2o99b2o5bo$bob2o4bo34bo4b2o52b2o40bo4b3o$2ob2o4b2o31bob2o2bo2bo
50b2ob2o36b3o3bo3bo$5o3bob2o31b3o2bo2b2o50bo2bo37b2o7bo$b2o5bobo30bobo
3bo2b2o46bobo2bo2bo34b2ob3o2b2ob2o$2bobo3b2o31b3o3b4o48bo4b2o34b5ob2o
3bo$4bo37bo97b4o$142bo11$33b3o37b3o37b3o37b3o$32bo2bo36bo2bo36bo2bo36b
o2bo$32bo3bo35bo3bo35bo3bo35bo3bo$31b2obobo34b2obobo34b2obobo34b2obobo
$31b2ob2o35b2ob2o35b2ob2o35b2ob2o$32b3o37b3o37b3o37b3o!

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Re: List of B-heptomino/heptaplet offsets in INT rules

Post by Entity Valkyrie 2 » January 12th, 2020, 12:29 am

I call this rule "blife", since the B is a spaceship, block works, blinker works, glider works (just like tlife has t is a spceship, block works, glider works)
Bx222 IS MY WORST ENEMY.

Please click here for my own pages.

My recent rules:
B3-kq4ej5i6ckn7e/S2-i34q6a7
B3-kq4ej5y6c/S2-i34q5e
Move the Box

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